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《《第二章 圆锥曲线与方程22 椭圆222 椭圆的几何性质课件》高中数学人教B版版选修.ppt》由会员上传分享,免费在线阅读,更多相关内容在教育资源-天天文库。
1、2.2.2椭圆的几何性质2021/10/611.椭圆定义:平面内到两定点F1、F2的距离之和为常数(大于
2、F1F2
3、)的动点的轨迹叫做椭圆。2.椭圆的标准方程:3.椭圆中a,b,c的关系:当焦点在X轴上时当焦点在Y轴上时复习引入a2=b2+c22021/10/62一、椭圆的范围和即-a≤x≤a,-b≤y≤boxyx=-ax=ay=by=-b说明:椭圆落在x=±a,y=±b组成的矩形中2021/10/63yxoF1F2··x2y2+=1a22b二、椭圆的对称性2021/10/64yxoF1F2··x2y2+=1a22b2021/10/65yxoF1F2··x2y2+=1
4、a22b2021/10/66yxoF1F2··x2y2+=1a22b2021/10/67yxoF1F2··x2y2+=1a22b2021/10/68yxoF1F2··x2y2+=1a22b2021/10/69yxoF1F2··x2y2+=1a22b2021/10/610yxoF1F2··x2y2+=1a22b2021/10/611yxoF1F2··x2y2+=1a22b2021/10/612yxoF1F2··x2y2+=1a22b2021/10/613yxoF1F2··x2y2+=1a22b2021/10/614yxoF1F2··x2y2+=1a22b2021/10/
5、615yxoF1F2··x2y2+=1a22b2021/10/616yxoF1F2··x2y2+=1a22b2021/10/617yxoF1F2··x2y2+=1a22b2021/10/618yxoF1F2··x2y2+=1a22b2021/10/619yxoF1F2··x2y2+=1a22b2021/10/620yxoF1F2··x2y2+=1a22b2021/10/621yxoF1F2··x2y2+=1a22b2021/10/622yxoF1F2··x2y2+=1a22b2021/10/623yxoF1F2··x2y2+=1a22b2021/10/624yxoF1
6、F2··x2y2+=1a22b2021/10/625yxoF1F2··x2y2+=1a22b2021/10/626yxoF1F2··x2y2+=1a22b2021/10/627yxoF1F2··x2y2+=1a22b2021/10/628yxoF1F2··x2y2+=1a22b2021/10/629yxoF1F2··x2y2+=1a22b2021/10/630yxoF1F2··x2y2+=1a22b2021/10/631yxoF1F2··x2y2+=1a22b2021/10/632yxoF1F2··x2y2+=1a22b2021/10/633yxoF1F2··x2y2
7、+=1a22b2021/10/634yxoF1F2··x2y2+=1a22b2021/10/635yxoF1F2··x2y2+=1a22b2021/10/636yxoF1F2··x2y2+=1a22b2021/10/637yxoF1F2··x2y2+=1a22b2021/10/638yxoF1F2··x2y2+=1a22b2021/10/639yxoF1F2··x2y2+=1a22b2021/10/640yxoF1F2··x2y2+=1a22b2021/10/641yxoF1F2··x2y2+=1a22b2021/10/642yxoF1F2··x2y2+=1a22b2
8、021/10/643yxoF1F2··x2y2+=1a22b2021/10/644yxoF1F2··x2y2+=1a22b2021/10/645yxoF1F2··x2y2+=1a22b2021/10/646yxoF1F2··x2y2+=1a22b2021/10/647yxoF1F2··x2y2+=1a22b2021/10/648yxoF1F2··x2y2+=1a22b2021/10/649yxoF1F2··x2y2+=1a22b2021/10/650yxoF1F2··x2y2+=1a22b2021/10/651yxoF1F2··x2y2+=1a22b2021/10/6
9、52yxoF1F2··x2y2+=1a22b2021/10/653yxoF1F2··x2y2+=1a22b2021/10/654yxoF1F2··x2y2+=1a22b2021/10/655YXOP(x,y)P2(-x,y)P3(-x,-y)P1(x,-y)关于x轴对称关于y轴对称关于原点对称2021/10/656三、椭圆的顶点与长短轴oyB2B1A1A2F1F2cab(0,b)(a,0)(0,-b)(-a,0)a2=b2+c22021/10/657123-1-2-3-44y123-1-2-3-44y12345-1-5-2-3-4x12345-1-5
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